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Finding the Fourth Proportional to 12,058.06, 16,634.58 and 7,810.54

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Solution

The fourth proportional to 12,058.06, 16,634.58 and 7,810.54 is: 10,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.06 : 16,634.58 = 7,810.54 : x
  2. Step 2: Convert to fraction form
    12,058.06/16,634.58 = 7,810.54/x
  3. Step 3: Cross multiply
    12,058.06x = 16,634.58 × 7,810.54
  4. Step 4: Simplify right side
    12,058.06x = 129,925,010.89
  5. Step 5: Solve for x
    x = 129,925,010.89/12,058.06
  6. Step 6: Final answer
    x = 10,774.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.